To find: Analysing the Motion of a Projectile. A projectile is fired from a cliff 200 feet above the water at an inclination of to the horizontal, with a muzzle velocity of 50 feet per second. The height of the projectile above the water is modelled by,
Where is the horizontal distance of the projectile from the face of the cliff.
a. At what horizontal distance from the face of the cliff is the height of the projectile a maximum?
To find: Analysing the Motion of a Projectile. A projectile is fired from a cliff 200 feet above the water at an inclination of to the horizontal, with a muzzle velocity of 50 feet per second. The height of the projectile above the water is modelled by,
Where is the horizontal distance of the projectile from the face of the cliff.
b. Find the maximum height of the projectile.
To find: Analysing the Motion of a Projectile. A projectile is fired from a cliff 200 feet above the water at an inclination of to the horizontal, with a muzzle velocity of 50 feet per second. The height of the projectile above the water is modelled by,
Where is the horizontal distance of the projectile from the face of the cliff.
c. At what horizontal distance from the face of the cliff will the projectile strike the water?
To find: Analysing the Motion of a Projectile. A projectile is fired from a cliff 200 feet above the water at an inclination of to the horizontal, with a muzzle velocity of 50 feet per second. The height of the projectile above the water is modelled by,
Where is the horizontal distance of the projectile from the face of the cliff.
d. Using a graphing utility, graph the function , .
To find: Analysing the Motion of a Projectile. A projectile is fired from a cliff 200 feet above the water at an inclination of to the horizontal, with a muzzle velocity of 50 feet per second. The height of the projectile above the water is modelled by,
Where is the horizontal distance of the projectile from the face of the cliff.
e. Use a graphing utility to verify the solutions found in parts b. and c.
To find: Analysing the Motion of a Projectile. A projectile is fired from a cliff 200 feet above the water at an inclination of to the horizontal, with a muzzle velocity of 50 feet per second. The height of the projectile above the water is modelled by,
Where is the horizontal distance of the projectile from the face of the cliff.
f. When the height of the projectile is 100 feet above the water, how far is it from the cliff?
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College Algebra (10th Edition)
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